THEORETICAL MODEL OF VIBRATING OBJECT TRANSMITTING NOISE TOWARDS EXTERNAL SOUND

ＩｎｔｒｏｄｕｃｔｉｏｎＶｉｂｒａｔｉｎｇｏｂｊｅｃｔｓｕｎｄｅｒｗａｔｅｒ,ｓｕｃｈａｓｓｕｂｍａｒｉｎｅａｎｄｔｏｒｐｅｄｏ ,ｔｒａｎｓｍｉｔｎｏｉｓｅｔｏｗａｒｄｓｅｘｔｅｒｎａｌｓｏｕｎｄｆｉｅｌｄ ,ｆｏｒｍａｃｈｉｎｅｒｙｖｉｂｒａｔｉｏｎｏｆｉｎｓｉｄｅｐｏｗｅｒａｐｐａｒａｔｕｓ.Ｉｔｗｉｌｌｅｎｈａｎｃｅｇｒｅａｔｌｙｔｈｅｃｏｎｃｅａｌｍｅｎｔｏｆｓｕｂｍａｒｉｎｅａｎｄｔｏｒｐｅｄｏａｎｄｅｎｆｏｒｃｅｆｉｇｈｔｉｎｇｐｏｗｅｒｂｙｃｏｎｔｒｏｌｌｉｎｇｎｏｉｓｅｏｆｓｕｂｍａ…     

The Space-Time Finite Element Method for Parabolic Problems

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｅｑｕａｔｉｏｎｓｗｅｃｏｎｓｉｄｅｒｅｄａｒｅａｓｆｏｌｌｏｗｓｕｔ-Δｕ =ｆ(ｕ) ,　　Ω× [0 ,Ｔ] ,ｕ｜ Ω =0 ,　　　　　 Ω× [0 ,Ｔ] ,ｕ( · ,0 ) =ｕ0 ,Ω ,( 1 )ｗｈｅｒｅΩ ∈Ｒ2 ,ｔｈｅｆｕｎｃｔｉｏｎｆ(ｕ)ｓａｔｉｓｆｉｅｓ｜ｆ(ｕ)｜≤ｃ｜ｕ｜ ,　　 ｕ∈Ｃ(Ω) . ( 2 )Ａｎｄｆ(ｕ)ｉｓＬｉｐｓｃｈｉｔｚｃｏｎｔｉｎｕｏｕｓ,ｉ.ｅ.ｉｔｓａｔｉｓｆｉｅｓ｜ｆ(ｕ) -ｆ(ｖ) ｜≤Ｌ｜ｕ-ｖ｜ ,　　 ｕ ,ｖ∈Ｃ(Ω) ,( 3 )ｗｈｅｒｅＬｉｓＬｉｐｓｃｈｉｔｚｃｏｎｓｔａ…     

The second initial-boundary value problem for a quasilinear parabolic equations with nonlinear boundary conditions

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｆａｓｔｄｉｆｆｕｓｉｏｎｅｑｕａｔｉｏｎｏｆｄｉｖｅｒｇｅｎｃｅｆｏｒｍａｓｕｔ =(ａ(ｕ)ｕｘ) ｘ ｂ(ｕ) ｘ ｃ(ｕ)　　 (ａ( 0 ) = ∞ ) ( 1 )ｈａｓｉｍｐｏｒｔａｎｔｐｈｙｓｉｃａｌｂａｃｋｇｒｏｕｎｄ ,ｓｕｃｈａｓ [1 ] .Ｉｎｒｅｃｅｎｔｙｅａｒｓ ,ｓｏｍｅｒｅｓｕｌｔｓａｂｏｕｔ ( 1 )ｈａｖｅｂｅｅｎｏｂｔａｉｎｅｄ .Ｆｏｒｅｘａｍｐｌｅ ,[2 ] ,[3]ｒｅｓｐｅｃｔｉｖｅｌｙｄｉｓｃｕｓｓｅｄｔｈｅＣａｕｃｈｙｐｒｏｂｌｅｍｓｆｏｒｅｑｕａｔｉｏｎ( 1 )ａｎｄｕｔ=(…     

Study on Stress Concentrations in an Intraply Hybrid Composite Sheet

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｔｅｒｍｈｙｂｒｉｄｉｓｕｓｅｄｔｏｄｅｓｃｒｉｂｅｃｏｍｐｏｓｉｔｅｓｃｏｎｔａｉｎｉｎｇｔｗｏｏｒｍｏｒｅｔｙｐｅｓｏｆｆｉｂｅｒｓｉｎａｃｏｍｍｏｎｍａｔｒｉｘ .Ｈｙｂｒｉｄｃｏｍｐｏｓｉｔｅｓｈａｖｅｓｅｖｅｒａｌａｄｖａｎｔａｇｅｓａｓｃｏｍｐａｒｅｄｗｉｔｈｔｈｏｓｅｆａｂｒｉｃａｔｅｄｗｉｔｈａｓｉｎｇｌｅｆｉｂｅｒｔｙｐｅ .Ｔｈｅｒｅｆｏｒｅｎｏｗｔｈｅｙｈａｖｅｂｅｅｎｗｉｄｅｌｙｕｓｅｄｉｎｍａｎｙｆｉｅｌｄｓｓｕｃｈａｓａｅｒｏｎａｕｔｉｃｓａ…     

A family of high-order accuracy explicit difference schemes with branching stability for solving 3-D parabolic partial differential equation

ＩｎｔｒｏｄｕｃｔｉｏｎＷｅｏｆｔｅｎｍｅｅｔｔｈｅｐｒｏｂｌｅｍｏｆｓｏｌｖｉｎｇｅｑｕａｔｉｏｎｏｆｐａｒａｂｏｌｉｃｔｙｐｅｉｎｍａｎｙｆｉｅｌｄｓｓｕｃｈａｓｓｅｅｐａｇｅ ,ｄｉｆｆｕｓｉｏｎ ,ｈｅａｔｃｏｎｄｕｃｔｉｏｎａｎｄｓｏｏｎ .Ｉｎｔｈｅｃａｓｅｏｆ3＿ｄｉｍｅｎｓｉｏｎ ,ｔｈｅｍｏｄｅｌｉｓａｎｉｎｉｔｉａｌａｎｄｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍａｓｆｏｌｌｏｗｓ: ｕ ｔ = 2 ｕ ｘ2 2 ｕ ｙ2 2 ｕ ｚ2 　　　　 (0 <ｘ,ｙ,ｚ<1 ;ｔ>0 ) ,ｕ(ｘ ,ｙ,ｚ,0 ) =φ(ｘ ,ｙ ,ｚ)…     

A NOTE ON BIFURCATIONS OF u″ μ(u-u~k)=0(4≤k∈Z~ )

ＩｎｔｒｏｄｕｃｔｉｏｎＯｎｅｋｉｎｄｏｆｓｔｅａｄｙｓｔａｔｅｒｅａｃｔｉｏｎ＿ｄｉｆｆｕｓｉｏｎｅｑｕａｔｉｏｎｓｉｓｒｅａｄａｓ([1,2],ｅｔｃ),Ｆ(ｕ,μ)=ｕ″ μ(ｕ-ｕｋ)=0(1)ｗｉｔｈｂｏｕｎｄａｒｙｖａｌｕｅｃｏｎｄｉｔｉｏｎｕ(0)=ｕ(π)=0,(2)ｗｈｅｒｅμｉｓａｐａｒａｍｅｔｅｒ,1<ｋ∈Ｚ .ＬｅｔＸ=ｕ∈Ｃ2[0,π]｜ｕ(0)=ｕ(π)=0,Ｙ=Ｃ0[0,π].ＴｈｅｎＦ(ｕ,μ)ｉｓａｍａｐｆｒｏｍＸ×ＲｏｎｔｏＹ.Ｗｅｄｅｆｉｎｅｉｎｎｅｒｐｒｏｄｕｃｔｓｏｎｔｈｅｓｅｓｐａｃｅｓｂｙ〈ｕ,ｖ〉=∫π0ｕ(ξ)ｖ(…     

BLOW-UP OF THE SOLUTIONS FOR THE INITIAL-BOUNDARY PROBLEMS OF THE NONLINEAR SCHR?DINGER EQUATIONS

Ｔｈｅｒｅａｒｅｍａｎｙｄｏｃｕｍｅｎｔｓｔｈａｔｄｉｓｃｕｓｓｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖｌｕｅｐｒｏｂｌｅｍｓｏｆｔｈｅｎｏｎｌｉｎｅａｒＳｃｈｒ ｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ,ｓｕｃｈａｓｐａｐｅｒ [1 ] .Ｂｕｔｔｈｅｐａｐｅｒ [1 ]ｈａｓｏｎｅｗｅａｋｐｏｉｎｔ,ｔｈａｔｉｓ,ｉｔｃａｎｎｏｔｕｎｉｔｅｄｉｓｃｕｓｓｉｏｎｆｏｒｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌ…     

ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS

ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒｔｈｅｐｅｒｉｏｄｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｏｆｔｈｅｏｒｄｉｎａｒｙｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓＬｕ≡ｕ″(ｔ) +ｇｒａｄＧ(ｕ) =ｐ(ｔ) ,ｕ( 0 ) =ｕ( 2π) ,ｕ′( 0 ) =ｕ′( 2π) ,( 1 )ｗｈｅｒｅｐ∈Ｃ(Ｒ ,Ｒｎ) ,Ｇ ∈Ｃ2 (Ｒｎ,Ｒ) .ＴｈｅｅｑｕａｔｉｏｎｍａｙｂｅｉｎｔｅｒｐｒｅｔｅｄａｓｔｈｅＮｅｗｔｏｎｉａｎｅｑｕａｔｉｏｎｏｆｍｏｔｉｏｎｏｆｔｈｅｍｅｃｈａｎｉｃａｌｓｙｓｔｅｍｓｕｂｊｅｃｔｔｏｃｏｎｓｅｒｖａｔｉ…     

ANALYTICAL SOLUTION OF RADIATION SOUND PRESSURE OF DOUBLE CYLINDRICAL SHELLS IN FLUID MEDIUM

ＩｎｔｒｏｄｕｃｔｉｏｎＳｏｕｎｄｒａｄｉａｔｉｏｎｆｒｏｍｔｈｅｄｏｕｂｌｅｓｈｅｌｌｓｗｈｉｃｈａｒｅｔｈｅｍａｉｎｓｔｒｕｃｔｕｒｅｏｆｓｕｂｍａｒｉｎｅｈｕｌｌｓｕｎｄｅｒｅｘｃｉｔａｔｉｏｎｉｎｆｌｕｉｄｍｅｄｉｕｍｉｓｖｅｒｙｉｍｐｏｒｔａｎｔｆｏｒｓｔｕｄｙｉｎｇｔｈｅｓｕｂｍａｒｉｎｅｈｉｄｉｎｇｔｅｃｈｎｏｌｏｇｙ .Ｆｏｒｔｈｅｖｉｂｒａｔｉｏｎｃｈａｒａｃｔｅｒｉｓｔｉｃｏｆｄｏｕｂｌｅｃｏｎｃｅｎｔｒｉｃｓｈｅｌｌｓ,ｉｔｈａｓｂｅｅｎｓｔｕｄｉｅｄｏｎｔｈｅｏｒｙａｎｄｅ…     

KINEMATIC WAVE PROPERTIES OF ANISOTROPIC DYNAMICS MODEL FOR TRAFFIC FLOW

ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｃｅｎｔｌｙｔｈｅａｕｔｈｏｒｓｐｒｅｓｅｎｔｅｄａｎｅｗｄｙｎａｍｉｃｓｍｏｄｅｌｆｏｒｔｒａｆｆｉｃｆｌｏｗ[1].Ｔｈｅｍｏｄｅｌｃｏｍｐｒｉｓｅｓａｃｏｎｔｉｎｕｕｍｅｑｕａｔｉｏｎａｎｄａｄｙｎａｍｉｃｓｅｑｕａｔｉｏｎ ｋ/ ｔ+ (ｋｕ) / ｘ=0 ,( 1 ) ｕ ｔ+ｕ ｕ ｘ=ｕｅ(ｋ) -ｕＴ +ａ ｕ ｘ,( 2 )ｗｈｅｒｅｋｉｓｔｒａｆｆｉｃｄｅｎｓｉｔｙ ;ｕｉｓｍｅａｎｓｐｅｅｄ ;ｘ ,ｔａｒｅｓｐａｃｅａｎｄｔｉｍｅｃｏｏｒｄｉｎａｔｅｓｒｅｓｐｅｃｔｉｖｅｌｙ .Ｔｉｓｒｅｌ…     

On the existence of periodic solutions to higher dimensional periodic system with delay

Ｃｏｎｓｉｄｅｒｉｎｇｔｈｅｈｉｇｈｅｒｄｉｍｅｎｓｉｏｎａｌｐｅｒｉｏｄｉｃｓｙｓｔｅｍｓｗｉｔｈｄｅｌａｙｏｆｔｈｅｆｏｒｍｘ′（ｔ）＝Ａ（ｔ,ｘ（ｔ））ｘ（ｔ）＋ｆ（ｔ,ｘ（ｔ－τ））,（１）ｘ′（ｔ）＝ｇｒａｄＧ（ｘ（ｔ））＋ｆ（ｔ,ｘ（ｔ－...     

Boundary layer phenomena for differential-delay equations with state-dependent time lags,I.

In this paper we begin a study of the differential-delay equation

On Asymptotic Properties of Continuously Differentiable Solutions of Quasilinear Functional Differential Equations

We establish new properties of C ¹ [τ(1), + ∞)-solutions of the quasilinear functional differential equation

On the existence and stability of periodic solutions for hopfield neural network equations with delay

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｅｒｅｃｅｎｔｙｅａｒｓ,ｗｉｔｈａｌｏｔｏｆａｐｐｌｉｃａｔｉｏｎｓｏｆｎｅｕｒａｌｎｅｔｗｏｒｋｍｏｄｅｌｓ,ｍａｎｙａｕｔｈｏｒｓ［１～３］ａｒｅｉｎｔｅｒｅｓｔｅｄｉｎｔｈｅｒｅｓｅａｒｃｈｏｆｔｈｅｓｔｒｕｃｔｕｒｅａｎｄｐｅｒｆｏｒｍａｎｃｅｆｏｒｔｈｅｓｅｎｅｔｗｏｒｋｓ．ＢｅｃａｕｓｅＨｏｐｆｉｅｌｄｎｅｕｒａｌｎｅｔｗｏｒｋｗｅｌｌｓｉｍｕｌａｔｅｔｈｅｅｃｏｌｏｇｉｃａｌｓｙｓｔｅｍ,ｍａｎｙｓｔｕｄｉｅｓａｒｅｃｏｎｃｅｎｔｒａｔｅｄｏｎｔｈ…     

Behavior of Solutions of Second-Order Differential Equations with Sublinear Damping

We investigate the asymptotic behavior of solutions of the damped nonlinear oscillator equation

Large Time Behavior and Stability of Equilibria of Degenerate Parabolic Equations

The article deals with positive solutions of the Dirichlet problem for

Numerical study of a nonlinear integrodifferential equation

I.IntroductionItiswell-knobal.nthatKorteweg-deVriesequationisacanonicalmodeltodescribethebalanceofthenonlineareffectandthedispersiveeffectofaphysicalsystem.Thisequationpossessestheso-called'soliton"solution,whichhasbeenfoundnumericallybyZabuskyandKruskall'].Ho-c'Jlever,sometimesthebalanceofnonlinearityanddispersionofasystemmayleadtoa,integroditTerentialequationinsteadofadifferentialequation.Forinstance,inthestudyofvortexbreakdownofanunboundedrotatingfluidLeibovich12]derivedfollowingnonline…     

On the Denseness of the Set of Unsolvable Cauchy Problems in the Set of All Cauchy Problems in the Case of an Infinite-Dimensional Banach Space

We prove the following statement: Theorem 1. Let E and be an arbitrary infinite-dimensional Banach space and a continuous mapping, respectively. Then, for every and > 0, there exists a continuous mapping such that

Periodic Trajectories near Degenerate Equilibria in the Hénon-Heiles and Yang-Mills Hamiltonian Systems

This paper deals with connected branches of nonstationary periodic trajectories of Hamilton equations

Geometric Analysis of One Singular Cauchy Problem

We consider the Cauchy problem , x(0) = 0, where a ₀₀₀ = 0, a ₀₀₁ = 0, and a ₀₀₂ = 0, and prove the existence of continuously differentiable solutions x(0,] with required asymptotic properties.